If cosec A - B -2-3- A - B -2-3- 0- A - B - 90- Find A and B -A- 10- 50-B- 45- 15-C- 30- 30-D- 25- 35-

The correct option is B 45o, 15o If A+B lies in this range 0^o A+B ≤ 90^o cosec (A + B) = 2√(3) only when A + B = 60^o ............ (1) sec (A B) = 2√(3), ...

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Standard X

Mathematics

Standard Values of Trigonometric Ratios

If cosec A + ...

Question

If $c o s e c (A + B) = \frac{2}{\sqrt{3}}, s e c (A - B) = \frac{2}{\sqrt{3}}, 0^{o} \leq A + B \leq 90^{o}$ , Find A and B.

10^o, 50^o

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45^o, 15^o

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30^o, 30^o

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25^o, 35^o

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Solution

The correct option is B
45^o, 15^o

If A+B lies in this range $0^{o} < A + B \leq 90^{o}$
$c o s e c (A + B) = \frac{2}{\sqrt{3}}$ only when $A + B = 60^{o}$ ............ (1)
$s e c (A - B) = \frac{2}{\sqrt{3}}$ , only when $A - B = 30^{o}$ ............ (2)
By Solving equation 1 and equation 2
$A = 45^{o} a n d B = 15^{o}$

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If cosec(A+B)=2√3,sec(A−B)=2√3,0o≤A+B≤90o, Find A and B.

The correct option is B 45o, 15o If A+B lies in this range 0o<A+B≤90o cosec(A+B)=2√3 only when A+B=60o ............ (1) sec(A−B)=2√3, only when A−B=30o ............ (2) By Solving equation 1 and equation 2 A=45o and B=15o

If $c o s e c (A + B) = \frac{2}{\sqrt{3}}, s e c (A - B) = \frac{2}{\sqrt{3}}, 0^{o} \leq A + B \leq 90^{o}$ , Find A and B.